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Statistics, Correlation and Regression in Mathematics

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Statistics, Correlation and Regression in Mathematics
  • Description
  • Outcome
  • Certification
  • This free online course is the first of our Upper-Secondary Mathematics suite of courses. It covers mathematical analysis, including univariate statistics and data, bivariate statistics, correlation, regression, residual analysis, non-linear data, and seasonal movements. This course is suitable for students of maths, especially those preparing for examinations. It is also suitable for those looking to refresh their knowledge of Mathematics.

  • On completing of this course you will have a good understanding of univariate data, the types of univariate data and displaying this type of data. You will know bivariate data such as dependent, independent variables, parallel boxplots, stemplots, graphical display and much more. You will know how to calculate the mean, median and mode when analysing statistics. You will be able to identify and calculate the interquartile range, standard deviation and boxplots using your calculator. You will know symmetry, calculating a seasonal index, coefficient, regression line, trends and much more. This course will teach you effective exam techniques and tips to help you prepare successfully for your exam.

  • All Alison courses are free to study. To successfully complete a course you must score 80% or higher in each course assessments. Upon successful completion of a course, you can choose to make your achievement formal by purchasing an official Alison Diploma, Certificate or PDF.

    Having an official Alison document is a great way to share your success. Plus it’s:

    • Ideal for including in CVs, job applications and portfolios
    • An indication of your ability to learn and achieve high results
    • An incentive to continue to empower yourself through learning
    • A tangible way of supporting the Alison mission to empower people everywhere through education.

Modules List( 14 )
  • Univariate data
    • Introduction
    • Types of data
    • Types of univariate data
    • Numerical data
  • Univariate data 2
    • Displaying data
    • Bar graphs
    • Stem and leaf diagrams 1
    • Stem and leaf diagrams 2
  • Bivariate data
    • Introduction
    • Dependent and independent variables
    • Percentaged tables
    • Parallel boxplots
    • Back-to-back stemplots
    • Graphical display of bivariate data – in summary
  • Summary statistics
    • Summary statistics
    • The mean
    • The median – definition
    • Cumulative frequency
    • Cumulative frequency graph
    • The mode
    • Advantages and disadvantages of the mean
    • The median for even data sets
    • Advantages and disadvantages of the median
    • The mean - example
    • The median - example
  • Range
    • The soccer activity
    • The range
    • The interquartile range
    • The interquartile range - example 1
    • The interquartile range - example 2
    • The standard deviation
    • Boxplots
    • Boxplots - example
    • Using your calculator
  • Symmetry
    • Symmetry and skew of a distribution
    • Negative skew
    • Positive skew
    • Probability intervals
    • Probability interval examples
    • Comparing sample and population
  • Calculating a seasonal index
    • Calculating a seasonal index
    • Interpreting seasonal indices
    • Seasonal movements
    • Deseasonalising the data
    • Deseasonalising the data – example
  • Coefficient
    • Scatterplots
    • Scatterplots: using your calculator
    • Pearson's product moment correlation coefficient, r
    • Calculating r
    • The coefficient of determination
    • Practice question
    • Strength of association
  • Regression line
    • Introduction
    • Finding the equation of a regression line
    • Interpretation of slope and intercept
    • Practice question
    • The three-median regression line
    • Using your calculator
    • The three-median regression example
    • The three-median regression practice questions
    • The least squares regression line
    • Making predictions from a regression line
  • Non-linear data
    • Non-linear data
    • Square transformation
    • Log transformations
    • Reciprocal transformation
    • Example 1
    • Example 2
  • Residual analysis
    • Introduction
    • Residual analysis - part 1
    • Plotting the residuals
    • Residual analysis - part 2
    • Residual analysis - part 3
  • Trends
    • Trends
    • Cyclic patterns
    • Random patterns
    • Describing patterns in time series data
    • Seasonal patterns
    • Smoothing a time series
    • Median smoothing
    • Smoothing using moving averages
    • Smoothing - example 1
    • Smoothing - example 2
  • Exam techniques and tips
    • Exam techniques and tips 1
    • Exam techniques and tips 2
    • Exam techniques and tips 3
    • Exam techniques and tips 4
  • Assessment
    • Core Mathematics 1 Assessment
Topics List ( 4 )
Univariate data
Univariate dataThis free online course is an introduction to the types of univariate data.The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.
Topics List ( 4 )
Univariate data 2
Univariate data 2This free online course is an introduction to displaying data using bar graphs and stem and leaf graphs.The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.
Topics List ( 6 )
Bivariate data
Bivariate dataThis course is an introduction to bivariate data and covers topics such as dependent and independent data, stemplots and boxplots.The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.
Topics List ( 11 )
Summary statistics
Summary statisticsThis free online course is an introduction to statistical method such as calculating the mean, median, and mode.The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.
Topics List ( 9 )
Range
RangeThis course covers topics such as the interquartile range and creating boxplots.The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.
Topics List ( 6 )
Symmetry
SymmetryThis free online course reviews the skewness of the distribution of data.The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.
Topics List ( 5 )
Calculating a seasonal index
Calculating a seasonal indexThis course covers how to calculate and interpret seasonal indices and how deseasonalise data.The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.
Topics List ( 7 )
Coefficient
CoefficientThis course covers topics such as the coefficient of determination, scatterplots, and calculating r.The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.
Topics List ( 10 )
Regression line
Regression lineThis free online course covers topics related to the regression line.The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.
Topics List ( 6 )
Non-linear data
Non-linear dataThis course is an introduction to square, log, and reciprocal transformations.The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.
Topics List ( 5 )
Residual analysis
Residual analysisThis free online course is an introduction to residual analysis.The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.
Topics List ( 10 )
Trends
TrendsThis free online course covers topics such as seasonal, random, and cyclic trends.The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.
Topics List ( 4 )
Exam techniques and tips
Exam techniques and tipsThis course covers exam tips and techniques.The Contents tab displays all the lessons and topics of the course. Each time you click the Contents tab, you will come to this page. A green tick indicates those lessons and topics you have completed, so you can easily see your progress.
Topics List ( 1 )
Assessment
Assessment
Course Features
  • Duration

    2-3 Hours

  • Publisher

    XSIQ

  • Video

    Yes

  • Audio

    Yes

  • Assessment

    Yes

  • Certification

    Yes

  • Price

    Free

  • Reward

    50 Pts

  • Responsive

    No

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